Problem

$7 \frac{2}{3}+2 \frac{1}{5}$

Answer

Expert–verified
Hide Steps
Answer

\(\boxed{9 \frac{13}{15}}\)

Steps

Step 1 :Convert the mixed numbers into improper fractions: \(7 \frac{2}{3} = \frac{23}{3}\) and \(2 \frac{1}{5} = \frac{11}{5}\)

Step 2 :Find a common denominator and add the fractions: \(\frac{23}{3} + \frac{11}{5} = \frac{23 \times 5 + 11 \times 3}{3 \times 5} = \frac{148}{15}\)

Step 3 :\(\boxed{9 \frac{13}{15}}\)

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